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41245252804032 = 2636130509115429
BaseRepresentation
bin10010110000011001010001…
…01001000101110111000000
312102001000012120202202021220
421120030220221011313000
520401230234204212112
6223415450233315040
711454604546166034
oct1130145051056700
9172030176682256
1041245252804032
1112162016a45662
124761733865a80
131a02545278394
14a283d0a7c1c4
154b7d3c63098c
hex258328a45dc0

41245252804032 has 112 divisors (see below), whose sum is σ = 110921645872800. Its totient is φ = 13522473308160.

The previous prime is 41245252804003. The next prime is 41245252804033. The reversal of 41245252804032 is 23040825254214.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41245252804033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 357263694 + ... + 357379122.

It is an arithmetic number, because the mean of its divisors is an integer number (990371838150).

Almost surely, 241245252804032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41245252804032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55460822936400).

41245252804032 is an abundant number, since it is smaller than the sum of its proper divisors (69676393068768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41245252804032 is a wasteful number, since it uses less digits than its factorization.

41245252804032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146014 (or 146004 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 42.

The spelling of 41245252804032 in words is "forty-one trillion, two hundred forty-five billion, two hundred fifty-two million, eight hundred four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 183 192 244 366 488 732 976 1464 1952 2928 3904 5856 11712 30509 61018 91527 115429 122036 183054 230858 244072 346287 366108 461716 488144 692574 732216 923432 976288 1385148 1464432 1846864 1861049 1952576 2770296 2928864 3693728 3722098 5540592 5583147 5857728 7041169 7387456 7444196 11081184 11166294 14082338 14888392 21123507 22162368 22332588 28164676 29776784 42247014 44665176 56329352 59553568 84494028 89330352 112658704 119107136 168988056 178660704 225317408 337976112 357321408 450634816 675952224 1351904448 3521623361 7043246722 10564870083 14086493444 21129740166 28172986888 42259480332 56345973776 84518960664 112691947552 169037921328 214819025021 225383895104 338075842656 429638050042 644457075063 676151685312 859276100084 1288914150126 1718552200168 2577828300252 3437104400336 5155656600504 6874208800672 10311313201008 13748417601344 20622626402016 41245252804032